Global Well-posedness of a Prandtl Model from MHD in Gevrey Function Spaces
Analysis of PDEs
2022-08-15 v1
Abstract
We consider a Prandtl model derived from MHD in the Prandtl-Hartmann regime that has a damping term due to the effect of the Hartmann boundary layer. A global-in-time well-posedness is obtained in the Gevrey function space with the optimal index . The proof is based on a cancellation mechanism through some auxiliary functions from the study of the Prandtl equation and an observation about the structure of the loss of one order tangential derivatives through twice operations of the Prandtl operator
Cite
@article{arxiv.2208.06078,
title = {Global Well-posedness of a Prandtl Model from MHD in Gevrey Function Spaces},
author = {Wei-Xi Li and Rui Xu and Tong Yang},
journal= {arXiv preprint arXiv:2208.06078},
year = {2022}
}
Comments
27 pages